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Video: Complex Numbers Introduction, Powers & Operations (Algebra 2)
Video: Complex Numbers Introduction, Powers & Operations (Algebra 2)
Video: Complex Numbers Introduction, Powers & Operations (Algebra 2)
Video: Complex Numbers Introduction, Powers & Operations (Algebra 2)
Video: Complex Numbers Introduction, Powers & Operations (Algebra 2)
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Video: Complex Numbers Introduction, Powers & Operations (Algebra 2)
Video: Complex Numbers Introduction, Powers & Operations (Algebra 2)
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Description

Topic of this video:  Complex Numbers

Unit: Radicals, Exponents, Complex Numbers, Factoring

Course: Algebra 2

Video Duration: 16 minutes and 32 seconds

This video:

  • Explains the definition and concept of Complex Numbers, introduces the Complex Number family and explains the a + bi notation
  • Explains the powers of i and why the powers are cyclical 
  • Goes over two examples of simplifying powers of i
  • Goes over an example of how to simplify radicals with negatives in the radicand
  • Goes over an example of adding complex numbers
  • Goes over two complex multiplication problems, one distributing a monomial to a binomial and the other multiplying two binomials
  • Defines complex conjugates and shows how multiplying by a conjugate simplifies to a rational number
  • Goes over two examples of rationalizing the denominator

Hello!  I created this video for students to learn this topic independently.  This video is a tool you can use to teach, preview, reteach, or just have as an additional resource.   The video uses student-friendly language and explains topics as simply as possible.  If you’re teaching remotely, this video is invaluable.  

The video consists of my hand-written pdf file of my notes,  and as I explain each concept and example, I point an arrow to the work I’m explaining.   In the videos, I do not show my face, nor mention any names, nor show any photos, just the math is shown and my voice is heard.  Thus, this video can be used in any classroom.  All videos are in English.  When you purchase this, you will receive a zip file which includes the video and the pdf of the notes which are explained.   What you see as thumbnails for this product is the pdf file. 

I usually assign a video as homework and ask students to write down everything for their own notes.  I then check their notes as evidence that they completed the assignment- but of course, you’re welcome to use this resource in any way you want.  During in-person schooling, I have a flipped classroom and my videos are crucial to its success.  In remote learning, I use the videos for every topic I introduce, and students find them extremely helpful.  

I hope my videos can help you out too!

--------------------------------------------------------------------------------

I use this video in my Common Core aligned Algebra 2 course.  Other videos for this unit and course are available to buy as well.  

Unit: Radicals, Exponents, Complex Numbers, Factoring.  

My video collection for this unit includes:

  • Radicals and Exponents
  • Operations with Radicals
  • Rationalizing the Denominator
  • Rational Exponents 1
  • Rational Exponents 2
  • Complex Number Introduction, Powers & Operations
  • Graphing Complex Points & Complex Roots of Quadratics (PreCalculus content)
  • Radical Equations
  • Extensions to Difference of Squares
  • Sum and Difference of Cubes
  • Factoring by Looking at Structure
  • Focus, Directrix of Parabolas
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Video: Complex Numbers Introduction, Powers & Operations (Algebra 2)

Elli S
10 Followers
$1.00

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9th - 12th
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Hello!  This bundle includes all my student-friendly videos for my Radicals, Exponents, Complex Numbers, Factoring Unit in Algebra 2:Radicals and ExponentsOperations with RadicalsRationalizing the DenominatorRational Exponents 1Rational Exponents 2Complex Number Introduction, Powers & Operations
Price $10.80Original Price $12.00Save $1.20
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Description

Topic of this video:  Complex Numbers

Unit: Radicals, Exponents, Complex Numbers, Factoring

Course: Algebra 2

Video Duration: 16 minutes and 32 seconds

This video:

  • Explains the definition and concept of Complex Numbers, introduces the Complex Number family and explains the a + bi notation
  • Explains the powers of i and why the powers are cyclical 
  • Goes over two examples of simplifying powers of i
  • Goes over an example of how to simplify radicals with negatives in the radicand
  • Goes over an example of adding complex numbers
  • Goes over two complex multiplication problems, one distributing a monomial to a binomial and the other multiplying two binomials
  • Defines complex conjugates and shows how multiplying by a conjugate simplifies to a rational number
  • Goes over two examples of rationalizing the denominator

Hello!  I created this video for students to learn this topic independently.  This video is a tool you can use to teach, preview, reteach, or just have as an additional resource.   The video uses student-friendly language and explains topics as simply as possible.  If you’re teaching remotely, this video is invaluable.  

The video consists of my hand-written pdf file of my notes,  and as I explain each concept and example, I point an arrow to the work I’m explaining.   In the videos, I do not show my face, nor mention any names, nor show any photos, just the math is shown and my voice is heard.  Thus, this video can be used in any classroom.  All videos are in English.  When you purchase this, you will receive a zip file which includes the video and the pdf of the notes which are explained.   What you see as thumbnails for this product is the pdf file. 

I usually assign a video as homework and ask students to write down everything for their own notes.  I then check their notes as evidence that they completed the assignment- but of course, you’re welcome to use this resource in any way you want.  During in-person schooling, I have a flipped classroom and my videos are crucial to its success.  In remote learning, I use the videos for every topic I introduce, and students find them extremely helpful.  

I hope my videos can help you out too!

--------------------------------------------------------------------------------

I use this video in my Common Core aligned Algebra 2 course.  Other videos for this unit and course are available to buy as well.  

Unit: Radicals, Exponents, Complex Numbers, Factoring.  

My video collection for this unit includes:

  • Radicals and Exponents
  • Operations with Radicals
  • Rationalizing the Denominator
  • Rational Exponents 1
  • Rational Exponents 2
  • Complex Number Introduction, Powers & Operations
  • Graphing Complex Points & Complex Roots of Quadratics (PreCalculus content)
  • Radical Equations
  • Extensions to Difference of Squares
  • Sum and Difference of Cubes
  • Factoring by Looking at Structure
  • Focus, Directrix of Parabolas
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Standards

to see state-specific standards (only available in the US).
Know there is a complex number 𝘪 such that 𝘪² = –1, and every complex number has the form 𝘢 + 𝘣𝘪 with 𝘢 and 𝘣 real.
Use the relation 𝘪² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
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